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Arisa [49]
3 years ago
8

G is the centroid and BE = 12. Find BG and GE.

Mathematics
1 answer:
Alona [7]3 years ago
7 0
The centroid is the intersection point <span>of the medians.
</span><span>So the distance from any vertex to the </span><span>centroid is 2/3 the length.
</span><span>BG=1/3*BE and GE=2/3*BE
</span><span>
So answer: </span>BG = 4, GE = 8
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alexgriva [62]
The Correct answer is C. -14 + (-10) = -24 and 2 + (-28) = -26. When negative numbers are in play, the lower negative number is higher in value. So when solved -24 > -26
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4 years ago
Ivan has a $500 bond with a 5.8% coupon. Ivan purchased this bond for $515.
svetoff [14.1K]

Answer:

The yield is 5.974%

Step-by-step explanation:

We proceed as follows ;

coupon rate = Annual coupon payment/bond face value.

The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%

mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87

mathematically;

current yield = Annual coupon payment/bond price

current yield = 29.87/500

= 0.05974 or simply 5.974%

so the answer is c. 5.6%

Step-by-step explanation:

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3 years ago
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1.38 is the mean of the amount of rainfall over the course of the week

7 0
3 years ago
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in an equilateral triangle prove that three times the square of one side is equal to the four times the square of one of its alt
KengaRu [80]

Answer:

See below.

Step-by-step explanation:

Let the side have a length x units .

The triangle formed by an altitude  is a 30-69-90 triangle so the sides are in the ratio 2:1:√3   where √3 is the altitude. Therefore if the side of the triangle = x then altitude = √3  * x / 2   =   √3x/2.

So we need to prove that  3x^2 =   4 (√3x/2)^2.

Simplifying:-

4 (√3x/2)^2 =  4 *( 3x^2/ 4) = 3x^2. This completes the proof,


6 0
3 years ago
A polynomial ppp has zeros when x=-2x=−2x, equals, minus, 2, x=\dfrac13x= 3 1 ​ x, equals, start fraction, 1, divided by, 3, end
Veronika [31]

Answer:

Polynomial equation is, p=(x+2)(3x-1)(x-3)=3x^3-4x^2-17x+6

Step-by-step explanation:

Given:

The zeros of the polynomial, p, are  x=-2,\frac{1}{3}, 3.

Therefore,

x= -2\\(x+2)=0

So, (x+2) is a factor of the polynomial.

x=\frac{1}{3}\\3x=1\\3x-1=0

So, (3x-1) is a factor of the polynomial.

x=3\\x-3=0

So, (x-3) is also a factor of the polynomial.

Therefore, a polynomial can be expressed in terms of the product of its factors.

Thus, p=(x+2)(3x-1)(x-3)

Expanding (x+2)\textrm{ and }(3x-1), we get

(x+2)(3x-1)=3x^2-x+6x-2=3x^2+5x-2

Now, expanding (3x^2+5x-2)\textrm{ and }(x-3), we get

(3x^2+5x-2)(x-3)=3x^3-9x^2+5x^2-15x-2x+6=3x^3-4x^2-17x+2

Therefore, the polynomial could be p=(x+2)(3x-1)(x-3)=3x^3-4x^2-17x+6

6 0
3 years ago
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